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Finding the Third Proportional to 38,945 and 84,451

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Solution

The third proportional to 38,945 and 84,451 is: 183,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,945 : 84,451 = 84,451 : x
  2. Step 2: Convert to fraction form
    38,945/84,451 = 84,451/x
  3. Step 3: Cross multiply
    38,945x = 84,451 × 84,451
  4. Step 4: Simplify right side
    38,945x = 7,131,971,401
  5. Step 5: Solve for x
    x = 7,131,971,401/38,945
  6. Step 6: Final answer
    x = 183,129.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.